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<h2>Volume of a Prism</h2>
To find the volume of a prism, we can use the following formula:
Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.
For a rectangular prism, the base area is solved using the following formula:
⇒ where <em>l</em> is the length and <em>w</em> is the width
We're given:
- V = 4352 ft³
- <em>l</em> = 16 ft
- <em>w</em> = 16 ft
- We need to solve for the height of the box.
First, find the base area:
Therefore, the base area is equal to 256 ft².
Now, modify the volume formula to isolate the height:
⇒ Divide both sides by the base area:
⇒ Plug in the given values:
Therefore, the height of the box is 17 ft.
<h2>Answer</h2>The height of the box is 17 ft.